152082630 has 128 divisors (see below), whose sum is σ = 470799360. Its totient is φ = 34214400.

The previous prime is 152082613. The next prime is 152082677. The reversal of 152082630 is 36280251.

152082630 is a `hidden beast` number, since 1 + 5 + 20 + 8 + 2 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152082594 and 152082603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126030 + ... + 127230.

It is an arithmetic number, because the mean of its divisors is an integer number (3678120).

Almost surely, 2^152082630 is an apocalyptic number.

152082630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152082630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235399680).

152082630 is an abundant number, since it is smaller than the sum of its proper divisors (318716730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152082630 is a wasteful number, since it uses less digits than its factorization.

152082630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 152082630 is about 12332.1786396403. The cubic root of 152082630 is about 533.7770183787. Note that the first 3 decimals are identical.

The spelling of 152082630 in words is "one hundred fifty-two million, eighty-two thousand, six hundred thirty".